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Finding the Fourth Proportional to 9,141.72, 12,615.32 and 5,415.72

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Solution

The fourth proportional to 9,141.72, 12,615.32 and 5,415.72 is: 7,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.72 : 12,615.32 = 5,415.72 : x
  2. Step 2: Convert to fraction form
    9,141.72/12,615.32 = 5,415.72/x
  3. Step 3: Cross multiply
    9,141.72x = 12,615.32 × 5,415.72
  4. Step 4: Simplify right side
    9,141.72x = 68,321,040.83
  5. Step 5: Solve for x
    x = 68,321,040.83/9,141.72
  6. Step 6: Final answer
    x = 7,473.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.